213010033100319 has 128 divisors (see below), whose sum is σ = 410344815820800. Its totient is φ = 106050630913920.

The previous prime is 213010033100317. The next prime is 213010033100327. The reversal of 213010033100319 is 913001330010312.

213010033100319 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 10 + 0 + 331 + 0 + 0 + 319 = 666.

It is not a de Polignac number, because 213010033100319 - 2¹ = 213010033100317 is a prime.

It is a super-2 number, since 2×213010033100319² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213010033100292 and 213010033100301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213010033100317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4232452 + ... + 21069734.

It is an arithmetic number, because the mean of its divisors is an integer number (3205818873600).

Almost surely, 2^{213010033100319} is an apocalyptic number.

213010033100319 is a deficient number, since it is larger than the sum of its proper divisors (197334782720481).

213010033100319 is a wasteful number, since it uses less digits than its factorization.

213010033100319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16837602 (or 16837596 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 213010033100319 in words is "two hundred thirteen trillion, ten billion, thirty-three million, one hundred thousand, three hundred nineteen".